2234263824 has 225 divisors, whose sum is σ = 7072319199. Its totient is φ = 680659200.

The previous prime is 2234263817. The next prime is 2234263841. The reversal of 2234263824 is 4283624322.

The square root of 2234263824 is 47268.

It is a perfect power (a square), and thus also a powerful number.

2234263824 is a `hidden beast` number, since 223 + 426 + 3 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84272400 + 2149991424 = 9180^2 + 46368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22121374 + ... + 22121474.

Almost surely, 2^2234263824 is an apocalyptic number.

2234263824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2234263824 is the 47268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234263824

2234263824 is an abundant number, since it is smaller than the sum of its proper divisors (4838055375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2234263824 is a wasteful number, since it uses less digits than its factorization.

2234263824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 119 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The cubic root of 2234263824 is about 1307.3086995938.

Multiplying 2234263824 by its sum of digits (36), we get a square (80433497664 = 283608²).

2234263824 divided by its sum of digits (36) gives a square (62062884 = 7878²).

The spelling of 2234263824 in words is "two billion, two hundred thirty-four million, two hundred sixty-three thousand, eight hundred twenty-four".